NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS

Yıl 2014, Cilt: 4 Sayı: 1, 20 - 26, 01.06.2014

M. Yavuz Duman S. Owa

Öz

Complex-valued harmonic functions that are univalent and sense-preserving in the unit disk D can be written in the form f = h + ¯g, where h and g are analytic in D. We give some inequalities for normalized harmonic functions that are starlike.

Anahtar Kelimeler

Harmonic mappings, starlike function, Carath´eodory function

Kaynakça

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• Duren, P., Harmonic Mappings in the Plane, Cambridge Tracts in Mathematics, vol. 156, Cambridge University Press, Cambridge, 2004. MR 2048384 (2005d:31001)
• Goodman, A.W., Univalent Functions. Vol. I and Vol. II, Mariner Publishing Co. Inc., Tampa, FL, 1983. MR 704183 (85j:30035a)
• Sheil-Small, T., Constants for planar harmonic mappings, J. London Math. Soc. (2) 42 (1990), 237- 248. MR 1083443 (91k:30052)